1968256 has 16 divisors (see below), whose sum is σ = 3921390. Its totient is φ = 984064.

The previous prime is 1968251. The next prime is 1968257. The reversal of 1968256 is 6528691.

1968256 = T₁₁₄₄ + T₁₁₄₅ + T₁₁₄₆.

It can be written as a sum of positive squares in only one way, i.e., 1000000 + 968256 = 1000^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1968251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7561 + ... + 7816.

2^1968256 is an apocalyptic number.

1968256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1968256 is the 1146-th centered triangular number.

It is an amenable number.

1968256 is a deficient number, since it is larger than the sum of its proper divisors (1953134).

1968256 is an equidigital number, since it uses as much as digits as its factorization.

1968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391 (or 15379 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 1968256 is about 1402.9454729247. The cubic root of 1968256 is about 125.3219646647.

The spelling of 1968256 in words is "one million, nine hundred sixty-eight thousand, two hundred fifty-six".